Prime p₀= 1020020152138705979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 76 2 250 2 40 2 16 2 (?)
a_n: 0 2 72 74 120 122 198 200 450 452 492 494 510 512
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 512
Found by: stoneageman
db: batch=76, k=14, 70 46 76 250 40 16

STPT(10)	1020019351274185019	0 2 18 20 30 32 42 44 60 62	-800864520960
SPT(16)	1020019619880147583	0 16 34 48 54 88 90 100 114 124 126 160 166 180 198 214	-532258558396
STPT(10)	1020019709999530319	0 2 48 50 60 62 72 74 120 122	-442139175660
SPT(16)	1020019779539863891	0 40 46 60 66 90 126 130 132 136 172 196 202 216 222 262	-372598842088
SPT(16)	1020019860079151713	0 48 78 90 144 160 190 196 228 234 264 280 334 346 376 424	-292059554266
STPT(10)	1020020096929290167	0 2 42 44 72 74 102 104 144 146	-55209415812
SPT(16)	1020020377024204631	0 50 98 116 138 150 176 192 236 252 278 290 312 330 378 428	224885498652
STPT(10)	1020020439310479989	0 2 48 50 90 92 132 134 180 182	287171774010
SPT(16)	1020020453473620749	0 14 20 24 38 50 78 90 182 194 222 234 248 252 258 272	301334914770
STPT(10)	1020020952152686439	0 2 48 50 90 92 132 134 180 182	800013980460
SPT(16)	1020021030260327243	0 14 30 38 66 126 128 144 290 306 308 368 396 404 420 434	878121621264